Locally closed sets and LC-continuous functions
type: Item
instance of: scholarly article
title: Locally closed sets and LC-continuous functions
zbMATH Open document ID: 0676.54014
DOI: 10.1155/S0161171289000505
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46390
review text: Summary: We introduce and study three different notions of generalized continuity, namely LC-irresoluteness, LC-continuity and sub-LC-continuity. All three notions are defined by using the concept of a locally closed set. A subset S of a topological space X is locally closed if it is the intersection of an open and a closed set. We discuss some properties of these functions and show that a function between topological spaces is continuous if and only if it is sub-LC-continuous and nearly continuous in the sense of Ptak. Several examples are provided to illustrate the behavior of these new classes of functions.
Mathematics Subject Classification ID: 54C08
Mathematics Subject Classification ID: 54A05
zbMATH DE Number: 4107684
zbMATH Keywords: generalized continuity
zbMATH Keywords: LC-irresoluteness
zbMATH Keywords: LC-continuity
zbMATH Keywords: sub-LC- continuity
author: Maximilian Ganster
author: I. L. Reilly
MaRDI profile type: Publication
OpenAlex ID: W2109335730
description: scientific article; zbMATH DE number 4107684